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Solved: (a) Sketch a graph of acceleration versus time

Chapter 2, Problem 29

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QUESTION:

(a) Sketch a graph of acceleration versus time corresponding to the graph of velocity versus time given in Figure \(2.57\).

(b) Identify the time or times \(\left(t_{a_{2},} t_{b}, t_{c}, \text { etc. }\right)\) at which the acceleration is greatest.

(c) At which times is it zero?

(d) At which times is it negative?

Equation Transcription:

Text Transcription:

2.57

(t_a, t_b, t_c, etc.)

Questions & Answers

QUESTION:

(a) Sketch a graph of acceleration versus time corresponding to the graph of velocity versus time given in Figure \(2.57\).

(b) Identify the time or times \(\left(t_{a_{2},} t_{b}, t_{c}, \text { etc. }\right)\) at which the acceleration is greatest.

(c) At which times is it zero?

(d) At which times is it negative?

Equation Transcription:

Text Transcription:

2.57

(t_a, t_b, t_c, etc.)

ANSWER:

Part (a)

Step 1 of 5:

The velocity vs time graph is given. We are going to construct the acceleration vs time graph for the corresponding v-t graph. The acceleration is the rate of change of velocity. The velocity of the graph is not the same throughout. It varies at each point. The acceleration is expressed as


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